Answer:
The rate is 12 ounces/box
or Each box of spaghetti weighs 12 ounces
Step-by-step explanation:
Divide 168 ounces by 14 boxes to calculate what each box weighs.
3. What is the perimeter of the rectangle
given below?
Geometry
P=2l+2s
Plugin both numbers.
P=24+38
P=62
besties can any of you help me on this because i do not know how to solve this
90 points for correct answers only
Answer:
[tex] D)\displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]
Step-by-step explanation:
remember that
[tex] \displaystyle a \rm cis( \theta) \times b cis( \theta _{2}) = ab \cdot cis( \theta + \theta _{2})[/tex]
so we acquire:
[tex] \displaystyle \frac{ \sqrt{2} }{6} \rm cis \left( \frac{3\pi}{5} \right) \times \frac{ \sqrt{6} }{4} cis \left( \frac{2\pi}{3} \right) = \frac{ \sqrt{2} }{6} \times \frac{ \sqrt{6} }{4} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
simplify the left hand side
[tex] \displaystyle \rm \frac{ \sqrt{12} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
[tex] \displaystyle \rm \frac{2 \sqrt{3} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
reduce fraction:
[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]
simplify addition:
[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]
hence our answer is D
In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?
Answer:
54degrees
Step-by-step explanation:
From the given diagram;
2<P + 136 + 74 + 42 = 360 (sum of angle at a point is 360degrees)
2<P +252 = 360
2<P = 360 - 252
2<P = 108
<P = 108/2
<P = 54
Hence the measure of <P is 54degrees
What is the solution to the equation below? Round your answer to two
decimal places.
ex = 7.9
The value of x will be 2.067.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ eˣ = 7.9
Now,
Since, The expression is,
⇒ eˣ = 7.9
Take natural log both side, we get;
⇒ ln eˣ = ln 7.9
⇒ x = ln 79 - ln 10
⇒ x = 4.369 - 2.302
⇒ x = 2.067
Thus, The value of x = 2.067
Learn more about the mathematical expression visit:
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ASAP what’s the answerrr step by step pleaseee
what's the meaning of bobo?
Please help! What is the area in square units?
9514 1404 393
Answer:
103 square units
Step-by-step explanation:
There is a way to find the area by counting grid points, but the fairly large number of them suggests that could be both tedious and prone to error. Instead, we'll chop up the figure into a trapezoid and two triangles.
From the top corner of the right edge draw a horizontal line across the figure. This will make the bottom portion a trapezoid and the top portion two triangles. The length of that horizontal line is 13 units, the height of the trapezoid, and the sum of the triangle bases.
The bottom trapezoid has a left-side base of 7 units and a right-side base of 6 units. Its area is ...
A = 1/2(b1 +b2)h
A = 1/2(7 +6)(13) = 1/2(13)(13) = 169/2 = 84.5 . . . square units.
The right top triangle has a base of 11 and a height of 3, so its area is ...
A = 1/2bh
A = 1/2(11)(3) = 33/2 = 16.5 . . . square units
The left top triangle has a base and height of 2 units each, so its area is ...
A = 1/2(2)(2) = 2 . . . square units
Then the total area of the figure is ...
84.5 +16.5 +2 = 103 . . . square units
_____
Check
Here is the check by counting grid points. The number of grid points on the outline of the figure is i=22. The number of grid points inside the figure appears to be b=93. Then the area by Pick's theorem is ...
b +i/2 -1 = 93 + 22/2 -1 = 103 . . . square units
someone please help!
anyone know the missing angle ?
Answer:48.013
Step-by-step explanation: just found it
Duncan is investigating if residents of a city support the construction of a new school. He is curious about the difference of opinion between residents in north and south parts of the city. He obtained separate random samples of voter from each region. Here are results:
Support Construction North South
Yes 274 240
No 726 520
Total 1000 760
Duncan wants to use these results to construct a 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction (PN-Ps). Assume that all of the condition for inference have been met.
Answer:
The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
North:
274 out of 1000. So
[tex]p_N = \frac{274}{1000} = 0.274, s_N = \sqrt{\frac{0.274*0.726}{1000}} = 0.0141[/tex]
South
240 out of 760. So
[tex]p_S = \frac{240}{760} = 0.3158, s_S = \sqrt{\frac{0.3158*0.6842}{760}} = 0.0169[/tex]
Distribution of the difference:
[tex]p = p_N - p_S = 0.274 - 0.3158 = -0.0418[/tex]
[tex]s = \sqrt{s_N^2+s_S^2} = \sqrt{0.0141^2+0.0169^2} = 0.022[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]p - zs = -0.0418 - 1.96*0.022 = -0.0849[/tex]
Upper bound:
[tex]p + zs = -0.0418 + 1.96*0.022 = 0.0013[/tex]
The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).
Given the proportion and number of residents in the North and South of
0.274, 1000, and approximately 0.316, 760, we have;
The 95% Confidence interval for the difference in proportion of those in support of the construction is; C.I. = (-0.085, 0.00109)How can the confidence interval be found?The given parameter presented in a tabular form are;
[tex]\begin{array}{|c|c|c|}Support \ Constructtion&North&South\\Yes&274&240\\No&726&520\\Total & 1000& 760\end{array}\right][/tex]
Which gives;
Proportion of the North resident that support, [tex]\mathbf{\hat p_N}[/tex] = 274 ÷ 1000 = 0.274
The number of people sampled in the north, n₁ = 1,000
Proportion of the South resident that support, [tex]\mathbf{\hat p_S}[/tex] = 240 ÷ 760 ≈ 0.316
The number of people sampled in the south, n₂ = 760
The confidence interval for the difference of two proportions are given
as follows;
[tex]\hat{p}_N-\hat{p}_S\pm \mathbf{ z^{*}\sqrt{\dfrac{\hat{p}_N \cdot \left (1-\hat{p}_N \right )}{n_{1}}+\dfrac{\hat{p}_S \cdot \left (1-\hat{p}_S \right )}{n_{2}}}}[/tex]
Where;
The z-score at 95% confidence level is 1.96
Which gives;
[tex]C.I. = \left(0.274-0.316 \right)\pm 1.96 \times \sqrt{\dfrac{0.274 \times \left (1-0.274 \right )}{1000}+\dfrac{0.316 \times \left (1-0.316 \right )}{760}}[/tex]
C.I. ≈ (-0.085, 0.00109)
The 95% confidence interval, C. I. of the difference in the proportion of
the residents in the regions who support the construction, [tex]\hat p_N[/tex] - [tex]\hat p_S[/tex] is
therefore;
[tex]\underline{C.I. = (-0.085, \, 0.00109)}[/tex]Learn more calculating the confidence interval here:
https://brainly.com/question/15308274
Please I need help! Thank you
Step-by-step explanation:
everything can be found in the picture
Answer:
h = [tex]\frac{K^2}{17}[/tex]
Step-by-step explanation:
Given
K = [tex]\sqrt{17h}[/tex] ( square both sides )
K² = 17h ( divide both sides by 17 )
[tex]\frac{K^2}{17}[/tex] = h
What is the explicit formula for this sequence?
-5, -3,-1,1, 3, ...
A. an = (-5) + (n − 1)2
B. an = (-5) + (n - 1)(-2)
C. an = 5 + (n - 1)2
D. an = 2 + (n - 1)(-5)
Answer:
Step-by-step explanation:
A.-5+(n-1)*2 and n belong to 1 to ponitive infinity
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
You can get a car loan with a term of three years at an APR of 5%. If you can afford a monthly payment of $450, how much can you borrow? (Round your answer to the nearest cent.)
$
Answer:
15014.57
Step-by-step explanation:
effective rate: .05/12= .004166667
[tex]450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655[/tex]
Step-by-step explanation:
15014.57
Step-by-step explanation:
effective rate: .05/12= .004166667
450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655450∗
.004166667
1−(1+.004166667)
−36
=15014.5655
Find tan(B) in the triangle.
c. 5/12
Step-by-step explanation:
tan= opposite/adjacent
[tex]{\huge{\underline{\bf{\pink{Hello \: mate \: (◕ᴗ◕✿)}}}}} \\ \\ = > \mathcal\blue{tan \beta = perpendicular \: \div base\: } \\ \\ \mathcal\blue{=>perpendicular = 5 \: } \\ \\\blue{=>Base = 12 \: } \\ \\ \\ \huge\mathfrak\red{=>tan \beta = 5 /12\: } \\ \\ {\huge{\boxed{\sf{\green{✓✓venom✓✓}}}}}[/tex]
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Answer:
b=-18
Step-by-step explanation:
If a line that passes through the point [tex]P(x_o,y_o)[/tex]and it has slope [tex]m[/tex], the equation of the line is:
[tex]y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18[/tex]
Answer:
-18
Step-by-step explanation:
\int\limits^0_∞ cos{x} \, dx
Answer:
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleTrig GraphsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]Trig IntegrationImproper IntegralsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx[/tex]
Step 2: Integrate
[Improper Integral] Rewrite: [tex]\displaystyle \lim_{a \to \infty} \int\limits^0_a {cos(x)} \, dx[/tex][Integral] Trig Integration: [tex]\displaystyle \lim_{a \to \infty} sin(x) \bigg| \limits^0_a[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \lim_{a \to \infty} sin(0) - sin(a)[/tex]Evaluate trig: [tex]\displaystyle \lim_{a \to \infty} -sin(a)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle -sin(\infty)[/tex]Since we are dealing with infinity of functions, we can do a numerous amount of things:
Since -sin(x) is a shift from the parent graph sin(x), we can say that -sin(∞) = sin(∞) since sin(x) is an oscillating graph. The values of -sin(x) already have values in sin(x).Since sin(x) is an oscillating graph, we can also say that the integral actually equates to undefined, since it will never reach 1 certain value.∴ [tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Improper Integrals
Book: College Calculus 10e
find the area of the shape below 22226
Answer:
12 units²
Step-by-step explanation:
A(triangle) = 1/2(2)(2) = 2 units²
A(triangle) = 1/2(2)(6) = 6 units²
A(Square) = 2(2) = 4 units²
A(Shape) = 2 + 6 + 4 = 12 units²
Which of the following expressions is equivalent to 4.4-3 (3/4+1.126)
Answer:
-3(6/8+9/8)+4 2/5
Step-by-step explanation:
You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.
Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is
Answer:
[tex]x = \pi \div 4 [/tex]
Someone please help me I’m stuck on this question
9514 1404 393
Answer:
-9
Step-by-step explanation:
You are given a point and a slope, so you can write the equation of the line in point-slope form:
y -k = m(x -h) . . . . . line of slope m through point (h, k)
y -7 = 4(x +5) . . . . using the given point
Putting in the x- and y-values of the other point, we have ...
-9 -7 = 4(w +5)
-4 = w +5 . . . . . . . . . divide by 4
-9 = w . . . . . . . . . . subtract 5
The value of w is -9.
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
The answer is in the picture. To be honest, I am not 100% sure about it.
Jiao works as an usher at a theater. The theater has 1000 seats that are accessed through five entrances. Each guest should use the entrance that's marked on their ticket. Jiao wants to test if the distribution of guests according to entrances matches the official distribution. He collects information about the number of guests that went through each entrance at a certain night. Here are the results: Entrance Expected # of people A 30% 398 B 30% 202 C 20% 205 D 10% 87 E 10% 108 Total 100% 1000 Jiao wants to perform a x' goodness-of-fit test to determine if these results suggest that the actual distribution of people doesn't match the expected distribution. # of people 398 202 205 87 108 1000 Jiao wants to perform a xa goodness-of-fit test to determine if these results suggest that the actua distribution of people doesn't match the expected distribution. What is the expected count of guests in entrance A in Jiao's sample? You may round your answer to the nearest hundredth.
Expected:______.
Show Calculator
Answer:
The answer is "300".
Step-by-step explanation:
Please find the complete solution in the attached file.
Answer:300
Step-by-step explanation:
Which equation is correct regarding the measure of
<1?
O m_1 = {(a-c)
O mz1 = = {(a + c)
Om 1 =
= {(6-0)
O m_1 = {(b + )
Answer:
m<1 = ½(b - d)
Step-by-step explanation:
Recall: when two secants intersect to form an exterior angle outside a circle, the measure of the exterior angle equals half of the difference of the major and minor arcs intersected.
Thus, in the problem given,
m<1 is the exterior angle
b and d are the arcs intersected.
Therefore,
m<1 = ½(b - d)
The equation that is correct regarding the measure of <1 is; m<1 = ½(b - d)
What is the Secant theorem of a circle?
According to the secant theorem, it states that when two secants intersect to form an exterior angle outside a circle, then the measure of the exterior angle will be equal to half of the difference of the major and minor arcs intersected.
In the given question, we can see that;
The exterior angle = m<1
The arcs intersected are b and d
Thus, from applying the secant theorem, we can express that;
m<1 = ½(b - d)
Read more about the secant theorem at; https://brainly.com/question/26340897
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a time without replacement. What is the probability that exactly 2 fakes are selected before the second real diamond is selected
Answer:
Step-by-step explanation:
The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270
Now selecting 2 gems from 25 is 25C2
25 C 2 = 25 * 24/2 = 300
Selecting one good gem is 10
Total selection = 300 * 10 = 3000
P(gems) = 3000 / 39270
P(gems) = 300/3927
P(gems) = 100/1309
which is the mode of the data given below 24686424664
Choose ALL the right triangles.
Answer:
Bottom left corner and bottom right corner
Step-by-step explanation:
the orange one and the blue one on the bottom
PLS PLS PLSSSSSSSSSSS
Answer:
20%decrease? id.k if its decrease or increase but its 20%
Step-by-step explanation:
HELP PLEASE I need help please
9514 1404 393
Answer:
A) B. 18-6
B) 20÷4
C) 20
Step-by-step explanation:
Part A
The order of operations tells you that the first step is to evaluate any expressions in parentheses. Here, that means you first evaluate (18 -6).
__
Part B
After parentheses have been removed, the next step is to perform multiplication and division. Here, there is only one term involving division, so you divide 20 by 4 as your second step.
__
Part C
After you have done parts A and B, your expression is ...
3 + 12 + 5
The value of this sum is 20.
. An aquarium contains 50 gallons of water. When the plug is pulled, water drains from the aquarium at a rate of 2 gallons per minute. How many gallons of water still remain in the aquarium after 8 minutes?
Answer:
34 gallons
Step-by-step explanation:
Water in tank = starting amount - rate * time
water in tank = 50 - 2 * time
Let the time = 8 minutes
water in tank = 50 - 2 * 8
= 50 - 16
= 34
Answer:
34 gallons still remain after 8 minutes.
Step-by-step explanation:
Variable x = gallons of water after 8 mins
2 gallons = 1 min
x gallons = 8 mins
Set up an equation:
2/1 = x/8
Cross multiply:
2 × 8 = 1 × x
16 = x
16 gallons of water are drained after 8 minutes.
Find the difference:
50 - 16 = 34
34 gallons still remain after 8 minutes.
The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 16 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 200 flights per hour.
207 204 175 193 208 187 213 220 176 213
204 206 224 216 186 184 216 204 209 186
215 204 216 224 184 197 176 181 197 175
Required:
Set up a right-tailed decision rule at α = 0.025 to decide whether there has been a significant increase in the mean number of arrivals per hour.
Answer:
that there is no significant evidence that there is an increase in mean number of arrivals per hour
Step-by-step explanation:
The hypothesis :
H0 : μ = 195
H1 : μ > 195
We obtain the test statistic :
(xbar - μ) ÷ (σ/√(n))
xbar = 200 ; n = 30 ; σ = 16
Test statistic :
(200 - 195) ÷ (16/√(30))
5 ÷ 2.9211869
= 1.712
Using the Pvalue calculator :
Pvalue from Test statistic = 0.043
At α = 0.025
Pvalue > α ; we fail to reject the Null and conclude that there is no significant evidence that there is an increase in mean number of arrivals per hour.